# Compound of six square antiprisms

(Redirected from Great disnub cube)

Compound of six square antiprisms | |
---|---|

Rank | 3 |

Type | Uniform |

Notation | |

Bowers style acronym | Gidsac |

Elements | |

Components | 6 square antiprisms |

Faces | 48 triangles, 12 squares as 6 stellated octagons |

Edges | 48+48 |

Vertices | 48 |

Vertex figure | Isosceles trapezoid, edge length 1, 1, 1, √2 |

Measures (edge length 1) | |

Circumradius | |

Volume | |

Dihedral angles | 3–3: |

4–3: | |

Central density | 6 |

Number of external pieces | 336 |

Level of complexity | 52 |

Related polytopes | |

Army | Semi-uniform Girco, edge lengths (ditetragon-rectangle), (ditetragon-ditrigon), (ditrigon-rectangle) |

Regiment | Gidsac |

Dual | Compound of six square antitegums |

Conjugate | Compound of six square antiprisms |

Abstract & topological properties | |

Flag count | 384 |

Orientable | Yes |

Properties | |

Symmetry | B_{3}, order 48 |

Flag orbits | 8 |

Convex | No |

Nature | Tame |

The **great disnub cube**, **gidsac**, or **compound of six square antiprisms** is a uniform polyhedron compound. It consists of 48 triangles and 12 squares (which pair up into 6 stellated octagons due to lying in the same plane), with one square and three triangles joining at a vertex.

It can be formed by combining the two chiral forms of the great snub cube.

Its quotient prismatic equivalent is the square antiprismatic hexateroorthowedge, which is eight-dimensional.

## Vertex coordinates[edit | edit source]

The vertices of a great disnub cube of edge length 1 are given by all permutations of:

- .

## External links[edit | edit source]

- Bowers, Jonathan. "Polyhedron Category C8: Antiprismatics" (#47).

- Klitzing, Richard. "gidsac".
- Wikipedia contributors. "Compound of six square antiprisms".